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Finding the Fourth Proportional to 478.02, 714.90 and 272.08

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Solution

The fourth proportional to 478.02, 714.90 and 272.08 is: 406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.02 : 714.90 = 272.08 : x
  2. Step 2: Convert to fraction form
    478.02/714.90 = 272.08/x
  3. Step 3: Cross multiply
    478.02x = 714.90 × 272.08
  4. Step 4: Simplify right side
    478.02x = 194,509.99
  5. Step 5: Solve for x
    x = 194,509.99/478.02
  6. Step 6: Final answer
    x = 406.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.